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Simplifying -1(1 + x) + -6(-7 + -1x) = 36 (1 * -1 + x * -1) + -6(-7 + -1x) = 36 (-1 + -1x) + -6(-7 + -1x) = 36 -1 + -1x + (-7 * -6 + -1x * -6) = 36 -1 + -1x + (42 + 6x) = 36 Reorder the terms: -1 + 42 + -1x + 6x = 36 Combine like terms: -1 + 42 = 41 41 + -1x + 6x = 36 Combine like terms: -1x + 6x = 5x 41 + 5x = 36 Solving 41 + 5x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 5x = 36 + -41 Combine like terms: 41 + -41 = 0 0 + 5x = 36 + -41 5x = 36 + -41 Combine like terms: 36 + -41 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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